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Finding the Fourth Proportional to 384,009.60, 576,014.40 and 265,430.40

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Solution

The fourth proportional to 384,009.60, 576,014.40 and 265,430.40 is: 398,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,009.60 : 576,014.40 = 265,430.40 : x
  2. Step 2: Convert to fraction form
    384,009.60/576,014.40 = 265,430.40/x
  3. Step 3: Cross multiply
    384,009.60x = 576,014.40 × 265,430.40
  4. Step 4: Simplify right side
    384,009.60x = 152,891,732,597.76
  5. Step 5: Solve for x
    x = 152,891,732,597.76/384,009.60
  6. Step 6: Final answer
    x = 398,145.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.